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Finding the Fourth Proportional to 5,684.94, 8,513 and 4,758.18

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Solution

The fourth proportional to 5,684.94, 8,513 and 4,758.18 is: 7,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.94 : 8,513 = 4,758.18 : x
  2. Step 2: Convert to fraction form
    5,684.94/8,513 = 4,758.18/x
  3. Step 3: Cross multiply
    5,684.94x = 8,513 × 4,758.18
  4. Step 4: Simplify right side
    5,684.94x = 40,506,386.34
  5. Step 5: Solve for x
    x = 40,506,386.34/5,684.94
  6. Step 6: Final answer
    x = 7,125.21

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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.