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Finding the Fourth Proportional to 4,354.64, 6,009.52 and 2,587.20

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Solution

The fourth proportional to 4,354.64, 6,009.52 and 2,587.20 is: 3,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.64 : 6,009.52 = 2,587.20 : x
  2. Step 2: Convert to fraction form
    4,354.64/6,009.52 = 2,587.20/x
  3. Step 3: Cross multiply
    4,354.64x = 6,009.52 × 2,587.20
  4. Step 4: Simplify right side
    4,354.64x = 15,547,830.14
  5. Step 5: Solve for x
    x = 15,547,830.14/4,354.64
  6. Step 6: Final answer
    x = 3,570.41

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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.