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Finding the Fourth Proportional to 5,666.51, 7,823.55 and 3,545.24

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Solution

The fourth proportional to 5,666.51, 7,823.55 and 3,545.24 is: 4,894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.51 : 7,823.55 = 3,545.24 : x
  2. Step 2: Convert to fraction form
    5,666.51/7,823.55 = 3,545.24/x
  3. Step 3: Cross multiply
    5,666.51x = 7,823.55 × 3,545.24
  4. Step 4: Simplify right side
    5,666.51x = 27,736,362.40
  5. Step 5: Solve for x
    x = 27,736,362.40/5,666.51
  6. Step 6: Final answer
    x = 4,894.79

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1.5x scale

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.