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Finding the Fourth Proportional to 5,587.59, 7,714.48 and 3,465.38

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Solution

The fourth proportional to 5,587.59, 7,714.48 and 3,465.38 is: 4,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.59 : 7,714.48 = 3,465.38 : x
  2. Step 2: Convert to fraction form
    5,587.59/7,714.48 = 3,465.38/x
  3. Step 3: Cross multiply
    5,587.59x = 7,714.48 × 3,465.38
  4. Step 4: Simplify right side
    5,587.59x = 26,733,566.13
  5. Step 5: Solve for x
    x = 26,733,566.13/5,587.59
  6. Step 6: Final answer
    x = 4,784.45

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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.