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Finding the Fourth Proportional to 4,989, 7,483.50 and 1,526.16

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Solution

The fourth proportional to 4,989, 7,483.50 and 1,526.16 is: 2,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989 : 7,483.50 = 1,526.16 : x
  2. Step 2: Convert to fraction form
    4,989/7,483.50 = 1,526.16/x
  3. Step 3: Cross multiply
    4,989x = 7,483.50 × 1,526.16
  4. Step 4: Simplify right side
    4,989x = 11,421,018.36
  5. Step 5: Solve for x
    x = 11,421,018.36/4,989
  6. Step 6: Final answer
    x = 2,289.24

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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.