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Finding the Fourth Proportional to 5,692,804.71, 7,856,256.78 and 3,114,425.67

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Solution

The fourth proportional to 5,692,804.71, 7,856,256.78 and 3,114,425.67 is: 4,298,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,804.71 : 7,856,256.78 = 3,114,425.67 : x
  2. Step 2: Convert to fraction form
    5,692,804.71/7,856,256.78 = 3,114,425.67/x
  3. Step 3: Cross multiply
    5,692,804.71x = 7,856,256.78 × 3,114,425.67
  4. Step 4: Simplify right side
    5,692,804.71x = 24,467,727,785,743.54
  5. Step 5: Solve for x
    x = 24,467,727,785,743.54/5,692,804.71
  6. Step 6: Final answer
    x = 4,298,009.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.