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Finding the Fourth Proportional to 3,316.68, 4,973.40 and 1,584

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Solution

The fourth proportional to 3,316.68, 4,973.40 and 1,584 is: 2,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.68 : 4,973.40 = 1,584 : x
  2. Step 2: Convert to fraction form
    3,316.68/4,973.40 = 1,584/x
  3. Step 3: Cross multiply
    3,316.68x = 4,973.40 × 1,584
  4. Step 4: Simplify right side
    3,316.68x = 7,877,865.60
  5. Step 5: Solve for x
    x = 7,877,865.60/3,316.68
  6. Step 6: Final answer
    x = 2,375.23

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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.