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Finding the Fourth Proportional to 5,870.34, 8,805.51 and 1,977.48

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Solution

The fourth proportional to 5,870.34, 8,805.51 and 1,977.48 is: 2,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.34 : 8,805.51 = 1,977.48 : x
  2. Step 2: Convert to fraction form
    5,870.34/8,805.51 = 1,977.48/x
  3. Step 3: Cross multiply
    5,870.34x = 8,805.51 × 1,977.48
  4. Step 4: Simplify right side
    5,870.34x = 17,412,719.91
  5. Step 5: Solve for x
    x = 17,412,719.91/5,870.34
  6. Step 6: Final answer
    x = 2,966.22

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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.