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Finding the Fourth Proportional to 4,707.04, 6,502.62 and 4,357.12

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Solution

The fourth proportional to 4,707.04, 6,502.62 and 4,357.12 is: 6,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.04 : 6,502.62 = 4,357.12 : x
  2. Step 2: Convert to fraction form
    4,707.04/6,502.62 = 4,357.12/x
  3. Step 3: Cross multiply
    4,707.04x = 6,502.62 × 4,357.12
  4. Step 4: Simplify right side
    4,707.04x = 28,332,695.65
  5. Step 5: Solve for x
    x = 28,332,695.65/4,707.04
  6. Step 6: Final answer
    x = 6,019.22

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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.