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Finding the Fourth Proportional to 4,032.51, 5,565.16 and 2,264.22

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Solution

The fourth proportional to 4,032.51, 5,565.16 and 2,264.22 is: 3,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.51 : 5,565.16 = 2,264.22 : x
  2. Step 2: Convert to fraction form
    4,032.51/5,565.16 = 2,264.22/x
  3. Step 3: Cross multiply
    4,032.51x = 5,565.16 × 2,264.22
  4. Step 4: Simplify right side
    4,032.51x = 12,600,746.58
  5. Step 5: Solve for x
    x = 12,600,746.58/4,032.51
  6. Step 6: Final answer
    x = 3,124.79

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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.