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Finding the Fourth Proportional to 5,710.19, 8,564.29 and 1,549.65

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Solution

The fourth proportional to 5,710.19, 8,564.29 and 1,549.65 is: 2,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.19 : 8,564.29 = 1,549.65 : x
  2. Step 2: Convert to fraction form
    5,710.19/8,564.29 = 1,549.65/x
  3. Step 3: Cross multiply
    5,710.19x = 8,564.29 × 1,549.65
  4. Step 4: Simplify right side
    5,710.19x = 13,271,652.00
  5. Step 5: Solve for x
    x = 13,271,652.00/5,710.19
  6. Step 6: Final answer
    x = 2,324.20

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1.5x scale

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.