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Finding the Fourth Proportional to 5,303, 7,954.50 and 1,655

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Solution

The fourth proportional to 5,303, 7,954.50 and 1,655 is: 2,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303 : 7,954.50 = 1,655 : x
  2. Step 2: Convert to fraction form
    5,303/7,954.50 = 1,655/x
  3. Step 3: Cross multiply
    5,303x = 7,954.50 × 1,655
  4. Step 4: Simplify right side
    5,303x = 13,164,697.50
  5. Step 5: Solve for x
    x = 13,164,697.50/5,303
  6. Step 6: Final answer
    x = 2,482.50

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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.