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Finding the Fourth Proportional to 5,656.80, 8,474.16 and 3,703.08

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Solution

The fourth proportional to 5,656.80, 8,474.16 and 3,703.08 is: 5,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.80 : 8,474.16 = 3,703.08 : x
  2. Step 2: Convert to fraction form
    5,656.80/8,474.16 = 3,703.08/x
  3. Step 3: Cross multiply
    5,656.80x = 8,474.16 × 3,703.08
  4. Step 4: Simplify right side
    5,656.80x = 31,380,492.41
  5. Step 5: Solve for x
    x = 31,380,492.41/5,656.80
  6. Step 6: Final answer
    x = 5,547.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.