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Finding the Fourth Proportional to 3,646.99, 5,459.73 and 2,473.93

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Solution

The fourth proportional to 3,646.99, 5,459.73 and 2,473.93 is: 3,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.99 : 5,459.73 = 2,473.93 : x
  2. Step 2: Convert to fraction form
    3,646.99/5,459.73 = 2,473.93/x
  3. Step 3: Cross multiply
    3,646.99x = 5,459.73 × 2,473.93
  4. Step 4: Simplify right side
    3,646.99x = 13,506,989.84
  5. Step 5: Solve for x
    x = 13,506,989.84/3,646.99
  6. Step 6: Final answer
    x = 3,703.60

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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.