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Finding the Fourth Proportional to 4,557.60, 6,869.24 and 4,557.60

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Solution

The fourth proportional to 4,557.60, 6,869.24 and 4,557.60 is: 6,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.60 : 6,869.24 = 4,557.60 : x
  2. Step 2: Convert to fraction form
    4,557.60/6,869.24 = 4,557.60/x
  3. Step 3: Cross multiply
    4,557.60x = 6,869.24 × 4,557.60
  4. Step 4: Simplify right side
    4,557.60x = 31,307,248.22
  5. Step 5: Solve for x
    x = 31,307,248.22/4,557.60
  6. Step 6: Final answer
    x = 6,869.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.