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Finding the Fourth Proportional to 4,866.71, 7,301.76 and 1,535.48

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Solution

The fourth proportional to 4,866.71, 7,301.76 and 1,535.48 is: 2,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.71 : 7,301.76 = 1,535.48 : x
  2. Step 2: Convert to fraction form
    4,866.71/7,301.76 = 1,535.48/x
  3. Step 3: Cross multiply
    4,866.71x = 7,301.76 × 1,535.48
  4. Step 4: Simplify right side
    4,866.71x = 11,211,681.34
  5. Step 5: Solve for x
    x = 11,211,681.34/4,866.71
  6. Step 6: Final answer
    x = 2,303.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.