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Finding the Fourth Proportional to 5,658.66, 7,802.64 and 3,666.60

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Solution

The fourth proportional to 5,658.66, 7,802.64 and 3,666.60 is: 5,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.66 : 7,802.64 = 3,666.60 : x
  2. Step 2: Convert to fraction form
    5,658.66/7,802.64 = 3,666.60/x
  3. Step 3: Cross multiply
    5,658.66x = 7,802.64 × 3,666.60
  4. Step 4: Simplify right side
    5,658.66x = 28,609,159.82
  5. Step 5: Solve for x
    x = 28,609,159.82/5,658.66
  6. Step 6: Final answer
    x = 5,055.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.