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Finding the Fourth Proportional to 4,762.32, 6,565.28 and 4,106.16

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Solution

The fourth proportional to 4,762.32, 6,565.28 and 4,106.16 is: 5,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.32 : 6,565.28 = 4,106.16 : x
  2. Step 2: Convert to fraction form
    4,762.32/6,565.28 = 4,106.16/x
  3. Step 3: Cross multiply
    4,762.32x = 6,565.28 × 4,106.16
  4. Step 4: Simplify right side
    4,762.32x = 26,958,090.12
  5. Step 5: Solve for x
    x = 26,958,090.12/4,762.32
  6. Step 6: Final answer
    x = 5,660.71

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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.