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Finding the Fourth Proportional to 4,564.76, 6,295.41 and 2,970.81

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Solution

The fourth proportional to 4,564.76, 6,295.41 and 2,970.81 is: 4,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.76 : 6,295.41 = 2,970.81 : x
  2. Step 2: Convert to fraction form
    4,564.76/6,295.41 = 2,970.81/x
  3. Step 3: Cross multiply
    4,564.76x = 6,295.41 × 2,970.81
  4. Step 4: Simplify right side
    4,564.76x = 18,702,479.45
  5. Step 5: Solve for x
    x = 18,702,479.45/4,564.76
  6. Step 6: Final answer
    x = 4,097.15

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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.