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Finding the Fourth Proportional to 4,648.84, 6,974.16 and 1,875.76

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Solution

The fourth proportional to 4,648.84, 6,974.16 and 1,875.76 is: 2,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.84 : 6,974.16 = 1,875.76 : x
  2. Step 2: Convert to fraction form
    4,648.84/6,974.16 = 1,875.76/x
  3. Step 3: Cross multiply
    4,648.84x = 6,974.16 × 1,875.76
  4. Step 4: Simplify right side
    4,648.84x = 13,081,850.36
  5. Step 5: Solve for x
    x = 13,081,850.36/4,648.84
  6. Step 6: Final answer
    x = 2,814.00

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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.