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Finding the Fourth Proportional to 6,948.52, 9,590.02 and 4,155.64

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Solution

The fourth proportional to 6,948.52, 9,590.02 and 4,155.64 is: 5,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.52 : 9,590.02 = 4,155.64 : x
  2. Step 2: Convert to fraction form
    6,948.52/9,590.02 = 4,155.64/x
  3. Step 3: Cross multiply
    6,948.52x = 9,590.02 × 4,155.64
  4. Step 4: Simplify right side
    6,948.52x = 39,852,670.71
  5. Step 5: Solve for x
    x = 39,852,670.71/6,948.52
  6. Step 6: Final answer
    x = 5,735.42

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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.