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Finding the Fourth Proportional to 4,911.84, 6,775.65 and 3,417.39

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Solution

The fourth proportional to 4,911.84, 6,775.65 and 3,417.39 is: 4,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.84 : 6,775.65 = 3,417.39 : x
  2. Step 2: Convert to fraction form
    4,911.84/6,775.65 = 3,417.39/x
  3. Step 3: Cross multiply
    4,911.84x = 6,775.65 × 3,417.39
  4. Step 4: Simplify right side
    4,911.84x = 23,155,038.55
  5. Step 5: Solve for x
    x = 23,155,038.55/4,911.84
  6. Step 6: Final answer
    x = 4,714.13

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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.