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Finding the Fourth Proportional to 4,649.76, 6,973.72 and 2,307.32

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Solution

The fourth proportional to 4,649.76, 6,973.72 and 2,307.32 is: 3,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.76 : 6,973.72 = 2,307.32 : x
  2. Step 2: Convert to fraction form
    4,649.76/6,973.72 = 2,307.32/x
  3. Step 3: Cross multiply
    4,649.76x = 6,973.72 × 2,307.32
  4. Step 4: Simplify right side
    4,649.76x = 16,090,603.63
  5. Step 5: Solve for x
    x = 16,090,603.63/4,649.76
  6. Step 6: Final answer
    x = 3,460.52

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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.