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Finding the Fourth Proportional to 4,432.64, 6,649.56 and 1,510.16

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Solution

The fourth proportional to 4,432.64, 6,649.56 and 1,510.16 is: 2,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.64 : 6,649.56 = 1,510.16 : x
  2. Step 2: Convert to fraction form
    4,432.64/6,649.56 = 1,510.16/x
  3. Step 3: Cross multiply
    4,432.64x = 6,649.56 × 1,510.16
  4. Step 4: Simplify right side
    4,432.64x = 10,041,899.53
  5. Step 5: Solve for x
    x = 10,041,899.53/4,432.64
  6. Step 6: Final answer
    x = 2,265.44

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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.