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Finding the Fourth Proportional to 5,547.60, 8,322.60 and 1,652.40

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Solution

The fourth proportional to 5,547.60, 8,322.60 and 1,652.40 is: 2,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.60 : 8,322.60 = 1,652.40 : x
  2. Step 2: Convert to fraction form
    5,547.60/8,322.60 = 1,652.40/x
  3. Step 3: Cross multiply
    5,547.60x = 8,322.60 × 1,652.40
  4. Step 4: Simplify right side
    5,547.60x = 13,752,264.24
  5. Step 5: Solve for x
    x = 13,752,264.24/5,547.60
  6. Step 6: Final answer
    x = 2,478.96

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Why These Related Problems?

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