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Finding the Fourth Proportional to 4,875.48, 7,314.16 and 1,954.08

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Solution

The fourth proportional to 4,875.48, 7,314.16 and 1,954.08 is: 2,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.48 : 7,314.16 = 1,954.08 : x
  2. Step 2: Convert to fraction form
    4,875.48/7,314.16 = 1,954.08/x
  3. Step 3: Cross multiply
    4,875.48x = 7,314.16 × 1,954.08
  4. Step 4: Simplify right side
    4,875.48x = 14,292,453.77
  5. Step 5: Solve for x
    x = 14,292,453.77/4,875.48
  6. Step 6: Final answer
    x = 2,931.50

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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.