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Finding the Fourth Proportional to 5,873.99, 8,762.00 and 5,313.47

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Solution

The fourth proportional to 5,873.99, 8,762.00 and 5,313.47 is: 7,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.99 : 8,762.00 = 5,313.47 : x
  2. Step 2: Convert to fraction form
    5,873.99/8,762.00 = 5,313.47/x
  3. Step 3: Cross multiply
    5,873.99x = 8,762.00 × 5,313.47
  4. Step 4: Simplify right side
    5,873.99x = 46,556,553.76
  5. Step 5: Solve for x
    x = 46,556,553.76/5,873.99
  6. Step 6: Final answer
    x = 7,925.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.