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Finding the Fourth Proportional to 5,799.84, 8,699.84 and 1,417.40

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Solution

The fourth proportional to 5,799.84, 8,699.84 and 1,417.40 is: 2,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.84 : 8,699.84 = 1,417.40 : x
  2. Step 2: Convert to fraction form
    5,799.84/8,699.84 = 1,417.40/x
  3. Step 3: Cross multiply
    5,799.84x = 8,699.84 × 1,417.40
  4. Step 4: Simplify right side
    5,799.84x = 12,331,153.22
  5. Step 5: Solve for x
    x = 12,331,153.22/5,799.84
  6. Step 6: Final answer
    x = 2,126.12

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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.