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Finding the Fourth Proportional to 4,567.76, 6,303.52 and 2,471.90

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Solution

The fourth proportional to 4,567.76, 6,303.52 and 2,471.90 is: 3,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.76 : 6,303.52 = 2,471.90 : x
  2. Step 2: Convert to fraction form
    4,567.76/6,303.52 = 2,471.90/x
  3. Step 3: Cross multiply
    4,567.76x = 6,303.52 × 2,471.90
  4. Step 4: Simplify right side
    4,567.76x = 15,581,671.09
  5. Step 5: Solve for x
    x = 15,581,671.09/4,567.76
  6. Step 6: Final answer
    x = 3,411.23

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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.