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Finding the Fourth Proportional to 4,875.47, 7,316.00 and 4,835.84

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Solution

The fourth proportional to 4,875.47, 7,316.00 and 4,835.84 is: 7,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.47 : 7,316.00 = 4,835.84 : x
  2. Step 2: Convert to fraction form
    4,875.47/7,316.00 = 4,835.84/x
  3. Step 3: Cross multiply
    4,875.47x = 7,316.00 × 4,835.84
  4. Step 4: Simplify right side
    4,875.47x = 35,378,944.68
  5. Step 5: Solve for x
    x = 35,378,944.68/4,875.47
  6. Step 6: Final answer
    x = 7,256.52

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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.