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Finding the Fourth Proportional to 5,658.65, 8,531.40 and 5,277.51

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Solution

The fourth proportional to 5,658.65, 8,531.40 and 5,277.51 is: 7,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.65 : 8,531.40 = 5,277.51 : x
  2. Step 2: Convert to fraction form
    5,658.65/8,531.40 = 5,277.51/x
  3. Step 3: Cross multiply
    5,658.65x = 8,531.40 × 5,277.51
  4. Step 4: Simplify right side
    5,658.65x = 45,024,548.81
  5. Step 5: Solve for x
    x = 45,024,548.81/5,658.65
  6. Step 6: Final answer
    x = 7,956.77

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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.